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We combine two non-perturbative approaches, one based on the two-particle-irreducible (2PI) action, the other on the functional renormalization group (fRG), in an effort to develop new non-perturbative approximations for the field…

High Energy Physics - Theory · Physics 2021-07-14 Jean-Paul Blaizot , Jan M. Pawlowski , Urko Reinosa

We extend the instanton calculus for N=1/2 U(2) supersymmetric gauge theory by including one massless flavor. We write the equations of motion at leading order in the coupling constant and we solve them exactly in the non(anti)commutativity…

High Energy Physics - Theory · Physics 2009-11-11 Simone Giombi , Riccardo Ricci , Daniel Robles-Llana , Diego Trancanelli

We study the instanton effective action in deformed four-dimensional N=2 and N=4 super Yang-Mills (SYM) theories. These deformed gauge theories are defined on the D-brane world-volume in the presence of constant, self-dual Ramond-Ramond…

High Energy Physics - Theory · Physics 2007-10-21 Shin Sasaki , Katsushi Ito , Hiroaki Nakajima

We compute the one-instanton effective action of N=4 super Yang-Mills theory with gauge group Sp(2N). The result can be written in a very compact and manifestly supersymmetric form involving an integral over the superspace of an irrational…

High Energy Physics - Theory · Physics 2016-05-30 Massimo Bianchi , Jose Francisco Morales , Congkao Wen

We review the euclidean path-integral formalism in connection with the one-dimensional non-relativistic particle. The configurations which allow to construct a semiclassical approximation classify themselves into either topological…

High Energy Physics - Theory · Physics 2007-05-23 J. Casahorran

Recently the effective action for the 4-point functions in abelian open superstring theory has been derived, giving an explicit construction of the bosonic and fermionic terms of this infinite $\alpha'$ series. In the present work we…

High Energy Physics - Theory · Physics 2009-11-10 Osvaldo Chandia , Ricardo Medina

By combining the two-particle-irreducible (2PI) effective action common in non-equilibrium quantum field theory with the classical Martin-Siggia-Rose formalism, self-consistent equations of motion for the first and second cumulants of…

Disordered Systems and Neural Networks · Physics 2022-05-31 Tim Bode

We propose a four-point effective action for the graviton, antisymmetric two-forms, dilaton and axion of type IIB superstring in ten dimensions. It is explicitly SL(2,Z)-invariant and reproduces the known tree-level results. Perturbatively,…

High Energy Physics - Theory · Physics 2008-11-26 A. Kehagias , H. Partouche

We study the instanton effective action of four-dimensional deformed N=4 supersymmetric Yang-Mills theory in the presence of constant, self-dual Ramond-Ramond (R-R) 3-form background in type IIB superstring theory. We compare the instanton…

High Energy Physics - Theory · Physics 2009-11-19 Katsushi Ito , Hiroaki Nakajima , Takuya Saka , Shin Sasaki

We construct the derivative corrections to the four-point vertices in the abelian open string effective action to all orders in alpha'. The result is based on the structure of the string four-point function. Supersymmnetry of these vertices…

High Energy Physics - Theory · Physics 2009-11-10 Mees de Roo , Martijn G. C. Eenink

We study the instanton calculus for N=4 super Yang-Mills theory in ten-dimensional Omega-background with the R-symmetry Wilson line gauge field. From the ADHM construction of instantons in the background, we obtain the deformed instanton…

High Energy Physics - Theory · Physics 2015-06-03 Katsushi Ito , Hiroaki Nakajima , Takuya Saka , Shin Sasaki

We relate the non-perturbative exact results in supersymmetry to perturbation theory using several different methods: instanton calculations at weak or strong coupling, a method using gaugino condensation and another method relating strong…

High Energy Physics - Theory · Physics 2016-09-06 D. Finnell , P. Pouliot

We generalize Nakajima-Yoshioka blowup equations to arbitrary gauge group with hypermultiplets in arbitrary representations. Using our blowup equations, we compute the instanton partition functions for 4d N=2 and 5d N=1 gauge theories for…

High Energy Physics - Theory · Physics 2020-01-08 Joonho Kim , Sung-Soo Kim , Ki-Hong Lee , Kimyeong Lee , Jaewon Song

We explain how nonperturbative effects can be systematically included when constructing an effective field theory. We concentrate in particular on the matching calculation, by which a low energy theory without a heavy particle degree of…

High Energy Physics - Phenomenology · Physics 2009-09-11 Howard Georgi , Samuel T. Osofsky

The one-loop diffractive amplitude for emission of two real gluons with widely different rapidities is studied in the Lipatov effective action formalism. It is shown that after integration over longitudinal momenta in the loop the resulting…

High Energy Physics - Phenomenology · Physics 2010-02-11 M. A. Braun , M. Yu. Salykin , M. I. Vyazovsky

A new instanton solution is found in the quantum-mechanical double-well potential with a four-fermion term. The solution has finite action and depends on four fermionic collective coordinates. We explain why in general the instanton action…

High Energy Physics - Theory · Physics 2009-10-31 Stefan Vandoren , Peter van Nieuwenhuizen

In this work, we provide a method which allows to compute exactly the multipoint and multi-time correlation functions of a one-dimensional stochastic model of dimer adsorption-evaporation with random (uncorrelated) initial states. In…

Statistical Mechanics · Physics 2016-08-31 Mauro Mobilia

We compute the instanton partition function for ${\cal N}=4$ U(N) gauge theories living on toric varieties, mainly of type $\R^4/\Gamma_{p,q}$ including $A_{p-1}$ or $O_{\PP_1}(-p)$ surfaces. The results provide microscopic formulas for the…

High Energy Physics - Theory · Physics 2009-11-11 Francesco Fucito , Jose F. Morales , Rubik Poghossian

We present a Maple11+GRTensorII based symbolic calculator for instanton metrics using Newman-Penrose formalism. Gravitational instantons are exact solutions of Einstein's vacuum field equations with Euclidean signature. The Newman-Penrose…

General Relativity and Quantum Cosmology · Physics 2017-10-13 T. Birkandan

We study the instanton effects of the ABJM partition function using the Fermi gas formalism. We compute the exact values of the partition function at the Chern-Simons levels k=1,2,3,4,6 up to N=44,20,18,16,14 respectively, and extract…

High Energy Physics - Theory · Physics 2015-06-12 Yasuyuki Hatsuda , Sanefumi Moriyama , Kazumi Okuyama
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